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Finding the Fourth Proportional to 32,183.54, 48,275.31 and 8,809.98

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Solution

The fourth proportional to 32,183.54, 48,275.31 and 8,809.98 is: 13,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.54 : 48,275.31 = 8,809.98 : x
  2. Step 2: Convert to fraction form
    32,183.54/48,275.31 = 8,809.98/x
  3. Step 3: Cross multiply
    32,183.54x = 48,275.31 × 8,809.98
  4. Step 4: Simplify right side
    32,183.54x = 425,304,274.22
  5. Step 5: Solve for x
    x = 425,304,274.22/32,183.54
  6. Step 6: Final answer
    x = 13,214.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.